Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-3pp.1341-1357

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Samia M. Said, Elsayed M. Abd-Elaziz, and Mohamed I. A. Othman, "Effect of Internal Heat Source on a Nonlocal Thermoelastic Rotating Medium in the Context of a Dual-Phase-Lag Model with Fractional Derivative," Mech. Solids. 59 (3), 1341-1357 (2024)
Year 2024 Volume 59 Number 3 Pages 1341-1357
DOI 10.1134/S002565442360277X
Title Effect of Internal Heat Source on a Nonlocal Thermoelastic Rotating Medium in the Context of a Dual-Phase-Lag Model with Fractional Derivative
Author(s) Samia M. Said (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519 Egypt, samia_said59@yahoo.com)
Elsayed M. Abd-Elaziz (Department of Basic Sciences, Higher Institute of Engineering and Technology, Zagazig, Egypt, sayed_nr@yahoo.com)
Mohamed I. A. Othman (Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519 Egypt, m_i_a_othman@yahoo.com)
Abstract A new model of a rotating nonlocal thermoelastic medium is formulated based on the dual-phase-lag model with fractional derivative heat transfer. Using suitable non-dimensional variables, the problem is solved using Fourier series and Laplace transforms to obtain the exact expressions of physical fields. The distributions of the nondimensional temperature, displacements, and stresses are obtained and illustrated graphically. The effects of the rotation, the nonlocal parameter, the internal heat source, and the fractional-order parameter, on the considered variables are concerned and discussed in detail, and the results show that they significantly influence the variations of the considered variables.
Keywords dual-phase lag model, internal heat source, fractional derivative, nonlocal parameter, rotation
Received 27 December 2023Revised 16 March 2024Accepted 17 March 2024
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